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Finding the Fourth Proportional to 1,873.08, 2,584.80 and 1,033.80

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Solution

The fourth proportional to 1,873.08, 2,584.80 and 1,033.80 is: 1,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.08 : 2,584.80 = 1,033.80 : x
  2. Step 2: Convert to fraction form
    1,873.08/2,584.80 = 1,033.80/x
  3. Step 3: Cross multiply
    1,873.08x = 2,584.80 × 1,033.80
  4. Step 4: Simplify right side
    1,873.08x = 2,672,166.24
  5. Step 5: Solve for x
    x = 2,672,166.24/1,873.08
  6. Step 6: Final answer
    x = 1,426.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.